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Finding the Fourth Proportional to 711,606.36, 982,372.14 and 409,742.04

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Solution

The fourth proportional to 711,606.36, 982,372.14 and 409,742.04 is: 565,648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,606.36 : 982,372.14 = 409,742.04 : x
  2. Step 2: Convert to fraction form
    711,606.36/982,372.14 = 409,742.04/x
  3. Step 3: Cross multiply
    711,606.36x = 982,372.14 × 409,742.04
  4. Step 4: Simplify right side
    711,606.36x = 402,519,164,682.77
  5. Step 5: Solve for x
    x = 402,519,164,682.77/711,606.36
  6. Step 6: Final answer
    x = 565,648.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.